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Finding the Fourth Proportional to 1,589.84, 2,385.84 and 1,577.68

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Solution

The fourth proportional to 1,589.84, 2,385.84 and 1,577.68 is: 2,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.84 : 2,385.84 = 1,577.68 : x
  2. Step 2: Convert to fraction form
    1,589.84/2,385.84 = 1,577.68/x
  3. Step 3: Cross multiply
    1,589.84x = 2,385.84 × 1,577.68
  4. Step 4: Simplify right side
    1,589.84x = 3,764,092.05
  5. Step 5: Solve for x
    x = 3,764,092.05/1,589.84
  6. Step 6: Final answer
    x = 2,367.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.